Non-extendably shellable skeleta of simplices
classification
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keywords
shellablesimplicesskeletacompletablecomplexconjecturedimensionaldisprove
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We disprove a long-standing open conjecture due to Simon stating that all skeleta of simplices are extendably shellable. In particular, for every $d \geq 3$ we provide a pure $d$-dimensional shellable simplicial complex which is not shelling completable.
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